This thesis presents a systematic research on some types of special matrices such as inverse M-matrices.

本文主要对逆m -矩阵的几个问题进行研究。

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Based on the properties of block diagonally dominant matrices, generalized strictly diagonally dominant matrices and nonsingular M-matrices. We give the new condition of nonsingular matrices.

利用矩阵的块对角占优、广义严格对角占优以及非奇异m -矩阵的性质及理论，给出了矩阵非奇异的判定条件，拓展了矩阵非奇异性的判定准则。

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F class generalized m - matrices include not only all m - matrices but also all positive matrices.

型广义m -矩阵不仅包括了M -矩阵，还包括了所有的正矩阵。

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